Search a number
-
+
22012320003102 = 233111319150031489
BaseRepresentation
bin1010000000101001001001…
…00000111011010000011110
32212221100122102120100201000
411000110210200323100132
510341122212410044402
6114452153055331130
74431223544564232
oct500244440732036
985840572510630
1022012320003102
117017410866570
122576175520aa6
13c389a3092370
1456158b0285c2
152828ce744c1c
hex14052483b41e

22012320003102 has 128 divisors (see below), whose sum is σ = 60492696768000. Its totient is φ = 5833224253440.

The previous prime is 22012320003101. The next prime is 22012320003137. The reversal of 22012320003102 is 20130002321022.

22012320003102 is a `hidden beast` number, since 2 + 20 + 12 + 320 + 0 + 0 + 310 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012320003101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74869027 + ... + 75162462.

It is an arithmetic number, because the mean of its divisors is an integer number (472599193500).

Almost surely, 222012320003102 is an apocalyptic number.

22012320003102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22012320003102 is an abundant number, since it is smaller than the sum of its proper divisors (38480376764898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22012320003102 is a wasteful number, since it uses less digits than its factorization.

22012320003102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150031543 (or 150031537 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22012320003102 its reverse (20130002321022), we get a palindrome (42142322324124).

The spelling of 22012320003102 in words is "twenty-two trillion, twelve billion, three hundred twenty million, three thousand, one hundred two".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 27 33 38 39 54 57 66 78 99 114 117 143 171 198 209 234 247 286 297 342 351 418 429 494 513 594 627 702 741 858 1026 1254 1287 1482 1881 2223 2574 2717 3762 3861 4446 5434 5643 6669 7722 8151 11286 13338 16302 24453 48906 73359 146718 150031489 300062978 450094467 900188934 1350283401 1650346379 1950409357 2700566802 2850598291 3300692758 3900818714 4050850203 4951039137 5701196582 5851228071 8101700406 8551794873 9902078274 11702456142 14853117411 17103589746 17553684213 21454502927 25655384619 29706234822 31356581201 35107368426 37057777783 42909005854 44559352233 51310769238 52661052639 62713162402 64363508781 74115555566 76966153857 89118704466 94069743603 105322105278 111173333349 128727017562 153932307714 188139487206 193090526343 222346666698 282209230809 333520000047 386181052686 407635555613 564418461618 579271579029 667040000094 815271111226 846627692427 1000560000141 1158543158058 1222906666839 1693255384854 2001120000282 2445813333678 3668720000517 7337440001034 11006160001551 22012320003102